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Finding the Third Proportional to 815.44 and 1,165.31

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Solution

The third proportional to 815.44 and 1,165.31 is: 1,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.44 : 1,165.31 = 1,165.31 : x
  2. Step 2: Convert to fraction form
    815.44/1,165.31 = 1,165.31/x
  3. Step 3: Cross multiply
    815.44x = 1,165.31 × 1,165.31
  4. Step 4: Simplify right side
    815.44x = 1,357,953.22
  5. Step 5: Solve for x
    x = 1,357,953.22/815.44
  6. Step 6: Final answer
    x = 1,665.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.